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Finding the Fourth Proportional to 1,333.14, 1,840.01 and 773.63

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Solution

The fourth proportional to 1,333.14, 1,840.01 and 773.63 is: 1,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.14 : 1,840.01 = 773.63 : x
  2. Step 2: Convert to fraction form
    1,333.14/1,840.01 = 773.63/x
  3. Step 3: Cross multiply
    1,333.14x = 1,840.01 × 773.63
  4. Step 4: Simplify right side
    1,333.14x = 1,423,493.47
  5. Step 5: Solve for x
    x = 1,423,493.47/1,333.14
  6. Step 6: Final answer
    x = 1,067.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.